On Monday morning at Papago Park, Thomas told reporters that he'd spoken with Williams on Sunday night and considered the matter closed.
Thomas, who characterized his talk with Williams as lengthy and heated, refused to directly respond to some of Williams' harsher comments, which included calling Thomas "an idiot" and "selfish."
"Idiot? Selfish?" Thomas said. "There's nothing there worth a response. ... It's childish. It's time to move on. It's all a bunch of noise to me. ... As far as love lost, there was not much love there, anyway."
Williams also said that White Sox players, coaches and staff won't miss Thomas' "attitude" or "whining," adding, "Good riddance. See ya. ... He's the Oakland A's problem now."
A's manager Ken Macha said that he thought the war of words between Thomas and Williams was "funny" and noted, "[Jay] Payton was a problem with the Red Sox last year." Traded to the A's at midseason after complaining about a lack of playing time in Boston last season, Payton was a model citizen with Oakland.
Added Macha, "[It] looks like we've got a rivalry going [with Chicago now]."